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Finding the Fourth Proportional to 137,762.90, 206,250.15 and 84,815.90

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Solution

The fourth proportional to 137,762.90, 206,250.15 and 84,815.90 is: 126,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,762.90 : 206,250.15 = 84,815.90 : x
  2. Step 2: Convert to fraction form
    137,762.90/206,250.15 = 84,815.90/x
  3. Step 3: Cross multiply
    137,762.90x = 206,250.15 × 84,815.90
  4. Step 4: Simplify right side
    137,762.90x = 17,493,292,097.39
  5. Step 5: Solve for x
    x = 17,493,292,097.39/137,762.90
  6. Step 6: Final answer
    x = 126,981.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.